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THU版 - mathscounts 数学题求助(9)--many thanks!
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1 (共1页)
a*****g
发帖数: 1320
1
1) What is the units digit of N in the following equation?
(3x3x3x3x3)/N =1/2 X 1/3 X 1/3
2) A rectangle with sides of length 5 units and 6 units that are parallel to
the x-axis and y-axis has one vertex at (1,3). What is the largest possible
sum of the coordinates of any of the other vertices of this rectangle?
m*********y
发帖数: 1735
2

N=(3*3*3*3*3)/(1/2*1/3*1/3)=3^7*2
3*3=9
3*9=27
3*27=81
3*81=243
个位以4为周期循环,所以3^7等于3^3的各位,就是7,乘以2,个位就是4
to
possible
矩形左下角是(1,3)时右上角坐标之和最大,所以右上角是(6,9),之和是15

【在 a*****g 的大作中提到】
: 1) What is the units digit of N in the following equation?
: (3x3x3x3x3)/N =1/2 X 1/3 X 1/3
: 2) A rectangle with sides of length 5 units and 6 units that are parallel to
: the x-axis and y-axis has one vertex at (1,3). What is the largest possible
: sum of the coordinates of any of the other vertices of this rectangle?

a*****g
发帖数: 1320
3
太感谢了。你解题的思路非常的清晰,简单明了,俺发自心底的葱白。

【在 m*********y 的大作中提到】
:
: N=(3*3*3*3*3)/(1/2*1/3*1/3)=3^7*2
: 3*3=9
: 3*9=27
: 3*27=81
: 3*81=243
: 个位以4为周期循环,所以3^7等于3^3的各位,就是7,乘以2,个位就是4
: to
: possible
: 矩形左下角是(1,3)时右上角坐标之和最大,所以右上角是(6,9),之和是15

B******1
发帖数: 9094
4
右上角是(6,9)
or (9,6)
1 (共1页)
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